Propagation of harmonic plane waves along the symmetry axis in a piezoelectromagnetic monoclinic crystal

As is well known, in the Voigt theory of linear piezoelectricity the electromagnetic equations are static and the electric and magnetic fields are not coupled (quasi-static approximation), so that no electromagnetic field evolves in time and the wave behavior of electromagnetic fields cannot be described. The interactions between the mechanical and electromagnetic fields in a piezoelectric material can be described by an extension of Voigt theory in which the simultaneous use of the equations of infinitesimal elastic waves and Maxwell's equations is allowed. Here we present the results of paper [1]. There, a class of piezoelectricity-induced electromagnetic waves is studied, which propagate in a piezoelectromagnetic crystalline medium belonging to the class 2 of the monoclinic crystallographic system. The time harmonic plane waves propagating along the symmetry axis and depending only on the axial coordinate are characterized. [1] Montanaro, A., `On the propagation of plane waves in piezoelectromagnetic monoclinic crystals', Arch. Mech., 67}, page 1-16 (2015).